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1031343040 = 265713107331
BaseRepresentation
bin111101011110010…
…000101111000000
32122212122122200101
4331132100233000
54103010434130
6250201132144
734362162010
oct7536205700
92585578611
101031343040
1148a191322
1224948a054
13135892570
149ad89c40
15608231ca
hex3d790bc0

1031343040 has 224 divisors, whose sum is σ = 3060094464. Its totient is φ = 322375680.

The previous prime is 1031343013. The next prime is 1031343113. The reversal of 1031343040 is 403431301.

1031343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1031342999 and 1031343017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115675 + ... + 3116005.

It is an arithmetic number, because the mean of its divisors is an integer number (13661136).

Almost surely, 21031343040 is an apocalyptic number.

1031343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530047232).

1031343040 is an abundant number, since it is smaller than the sum of its proper divisors (2028751424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031343040 is a wasteful number, since it uses less digits than its factorization.

1031343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1031343040 is about 32114.5300448255. The cubic root of 1031343040 is about 1010.3403878355.

Adding to 1031343040 its reverse (403431301), we get a palindrome (1434774341).

The spelling of 1031343040 in words is "one billion, thirty-one million, three hundred forty-three thousand, forty".